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Finding the Fourth Proportional to 582.75, 874.16 and 553.59

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Solution

The fourth proportional to 582.75, 874.16 and 553.59 is: 830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 874.16 = 553.59 : x
  2. Step 2: Convert to fraction form
    582.75/874.16 = 553.59/x
  3. Step 3: Cross multiply
    582.75x = 874.16 × 553.59
  4. Step 4: Simplify right side
    582.75x = 483,923.47
  5. Step 5: Solve for x
    x = 483,923.47/582.75
  6. Step 6: Final answer
    x = 830.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.